442982904 has 256 divisors, whose sum is σ = 1437004800. Its totient is φ = 110702592.

The previous prime is 442982899. The next prime is 442982959. The reversal of 442982904 is 409289244.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4977292 + ... + 4977380.

It is an arithmetic number, because the mean of its divisors is an integer number (5613300).

Almost surely, 2^442982904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442982904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718502400).

442982904 is an abundant number, since it is smaller than the sum of its proper divisors (994021896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442982904 is a wasteful number, since it uses less digits than its factorization.

442982904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 442982904 is about 21047.1590481946. The cubic root of 442982904 is about 762.3053866493.

The spelling of 442982904 in words is "four hundred forty-two million, nine hundred eighty-two thousand, nine hundred four".